Uncertain switched linear systems are known as an important class of control systems. Performance of these systems is affected by uncertainties and its stabilization is a main concern of recent studies. Existing work on stabilization of these systems only provides asymptotical stabilization via designing switching strategy and state-feedback controller. In this paper, a new switching strate...

Many graph problems seem to require knowledge that extends beyond the immediate neighbors of a node. The usual self-stabilizing model only allows for nodes to make decisions based on the states of their immediate neighbors. We provide a general polynomial transformation for constructing self-stabilizing algorithms which utilize distancek knowledge, with a slowdown of n . Our main application is...

This paper proposes an approach for the minimum time swing upof a rotary inverted pendulum. Our rotary inverted pendulum is supported bya pivot arm. The pivot arm rotates in a horizontal plane by means of a servomotor. The opposite end of the arm is instrumented with a joint whose axisis along the radial direction of the motor. A pendulum is suspended at thejoint. The task is to design a contro...

In this paper we consider some stabilization problems for the wave equation with switching time-delay. We prove exponential stability results for appropriate damping coefficients. The proof of the main results is based on D’Alembert formula, observability inequality and some energy estimates. More general problems, like the Petrovsky system, are also discussed.

Purpose: Genu varum deformity changes the line of gravity from center of knee towards the medial side. This deviation results in changes in the upper part of the lower extremity that can affect postural control as well as the position and activity of the proximal muscles of the knee joint, like the gluteus medius muscle. Therefore this study aims to investigate the effect of genu varum disorder...